Multiply Linear Expressions (Distributive Property)

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Simplify: 5(x + 3)

Back

5x + 15

Front

What does it mean to 'simplify' an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression as concise as possible.

Front

Simplify: 3(2y - 4)

Back

6y - 12

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest power of the variable is one.

Front

Simplify: 4(3a + 2b)

Back

12a + 8b

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

Simplify: 2(5x + 3y - 4)

Back

10x + 6y - 8

Front

What is the result of multiplying a negative number by a positive number?

Back

The result is a negative number.

Front

Simplify: 7(2x - 3) + 4x

Back

18x - 21